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Finding the Fourth Proportional to 160,655.38, 221,704.42 and 89,046.16

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Solution

The fourth proportional to 160,655.38, 221,704.42 and 89,046.16 is: 122,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,655.38 : 221,704.42 = 89,046.16 : x
  2. Step 2: Convert to fraction form
    160,655.38/221,704.42 = 89,046.16/x
  3. Step 3: Cross multiply
    160,655.38x = 221,704.42 × 89,046.16
  4. Step 4: Simplify right side
    160,655.38x = 19,741,927,256.03
  5. Step 5: Solve for x
    x = 19,741,927,256.03/160,655.38
  6. Step 6: Final answer
    x = 122,883.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.